Let $$f(x) = \begin{cases} (1+ax)^{1/x} &, x 0 \end{cases}$$ be continuous at $$x = 0$$. Then $$e^a bc$$ is equal to

Let f(x) = (1+ax)^(1/x), x < 0 1+b, x = 0 ((x+4)^(1/2) - 2)/((x+c… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 3 April, Shift 1Continuity

Let $f(x) = \begin{cases} (1+ax)^{1/x} &, x < 0\\ 1+b &, x = 0\\ \frac{(x+4)^{1/2} - 2}{(x+c)^{1/3} - 2} &, x > 0 \end{cases}$ be continuous at $x = 0$ . Then $e^a bc$ is equal to

A
$64$
B
$72$
C
$48$
D
$36$

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